Exam II will be in the usual classroom on Tuesday, October 23, 2007. It will cover sections 12.2-12.10.

Calculators or other mechanical assistance are not needed and are not to be used. Blank paper will be provided, so all you will need is something to write with.

Many of the exam problems will be very similar to homework problems. Some may draw upon the material presented in the lectures. As on any exam, it is wise to start with the problems that you feel confident that you know how to do, before moving on to others.

The following topics are very likely to appear, although the exam is not necessarily limited to these topics:

1.	definition of convergence, arithmetic properties of convergent series
2.	geometric series
3.	convergence tests: limit of terms must be 0, integral test, comparison test, limit comparison test, alternating series test, ratio test, root test
4.	absolute and conditional convergence
5.	power series, convergence behavior, finding interval of convergence
6.	representing functions by power series, differentiation and integration of functions represented by power series
7.	Taylor polynomials, Taylor's Theorem, Lagrange form for the remainder, using them to verify when a Taylor series for f(x) converges to f(x).

You need to know the convergence behavior for p-series \sum 1/n^p. You also need to know the Maclaurin series for e^x, sin(x), cos(x), and ln(1+x) (and you might as well know them for sinh(x) and cosh(x), since these are obtained just by taking the (-1)^n out of the ones for sin(x) and cos(x)). It's not necessary to know the exact statements of Taylor's Theorem and the Lagrange form for the remainder, but be familiar with them and understand how to use them.

The following topics do not appear, at least not explicitly: remainder estimate for the integral test, alternating series estimation theorem, multiplication and division of power series, binomial series.

Exams from previous Honors Calculus classes can be found on their course pages (links to them appear on the course pages page). Some were 50-minute classes, but most were 75-minute classes. This course varies from semester to semester, so the exams may be quite a bit different from ours.